33121361 has 32 divisors (see below), whose sum is σ = 43008000. Its totient is φ = 24805440.

The previous prime is 33121339. The next prime is 33121367. The reversal of 33121361 is 16312133.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 33121361 - 2¹⁴ = 33104977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33121367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166340 + ... + 166538.

It is an arithmetic number, because the mean of its divisors is an integer number (1344000).

Almost surely, 2^33121361 is an apocalyptic number.

33121361 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

33121361 is a deficient number, since it is larger than the sum of its proper divisors (9886639).

33121361 is a wasteful number, since it uses less digits than its factorization.

33121361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309.

The product of its digits is 324, while the sum is 20.

The square root of 33121361 is about 5755.1160718095. The cubic root of 33121361 is about 321.1461535582.

Adding to 33121361 its reverse (16312133), we get a palindrome (49433494).

The spelling of 33121361 in words is "thirty-three million, one hundred twenty-one thousand, three hundred sixty-one".